benoît M vs Uzumaki

benoît M is a visual exploration of the Mandelbrot set — one of the most iconic and fascinating shapes in mathematics. Named in homage to Benoît Mandelbrot, who discovered this fractal-set named after him in 1979. The mathematician introduced the world to fractal geometry. This app lets you dive into a universe created from one deceptively simple formula: repeat z² + c, again and again. From that small rule emerge endless spirals, islands, valleys, coastlines, and self-similar structures that continue to reveal new detail as you zoom deeper. With real-time Metal rendering, benoît M turns fractal exploration into a smooth, visual experience. Pinch to zoom, pan to move, and double-tap to dive into interesting regions. Switch between classic Mandelbrot rendering and a beautiful pseudo-3D relief mode that gives the fractal a sculptural, almost metallic depth. Customize the look with image gradients, procedural palettes, inverted or flipped color styles, and adjustable iteration quality. When you find a scene worth keeping, export it as a square high-resolution PNG — up to 8K — directly to your Photo Library. Features: - Explore the Mandelbrot set interactively - Smooth Metal-based rendering - Classic Mandelbrot and pseudo-3D relief modes - Image-based and procedural color gradients - Adjustable iteration depth - Pinch, pan, and double-tap navigation - High-resolution PNG export: 2K and 8K - Saved app state, so you continue where you left off A compact tribute to Benoît Mandelbrot and the beauty of fractal geometry Whether you are fascinated by mathematics, generative art, abstract visuals, or simply beautiful patterns, benoît M invites you to explore infinity — one zoom at a time.

Create mesmerizing mathematical spiral patterns with infinite customization. Uzumaki is an interactive spiral visualization app that transforms mathematics into art. Explore 10 unique spiral types, from classic Archimedean spirals to the mystical Golden spiral, each with its own mathematical properties and visual characteristics. SPIRAL TYPES - Archimedean - Classic evenly-spaced spiral - Fermat - Parabolic spiral pattern - Logarithmic - Nature's growth spiral - Golden - Based on the golden ratio - Hyperbolic - Asymptotic spiral curves - Lituus - Trumpet-shaped spiral - Theodorus - Square root spiral wheel - Vogel - Sunflower seed pattern - Curlicue - Fractal-like spiral - Uzumaki - Chaotic animated spiral FEATURES - 10 beautiful color presets: Rainbow, Ocean, Fire, Matrix, Aurora, and more - 6 line styles: Solid, Dashed, Dotted, Glow, Points, and Triangles - Real-time animation with adjustable speed - Pan and zoom controls for exploring details - Export high-quality PNG images - 4 background themes: Dark, Black, Gradient, and Matching - Curated presets for inspiring configurations - Performance mode for smooth animations - Keyboard shortcuts for quick control PRIVACY FOCUSED - No account required - No personal data collected - All settings stored locally on your device Perfect for artists, designers, math enthusiasts, or anyone who appreciates the beauty of mathematical patterns.